Answer
12th term = 390,625
Step-by-step explanation
On close observation, we can see that the given series is in geometric progression.
Geometric progression has a general formula of
aₙ = a (rⁿ⁻¹)
where
aₙ = nth term
a = First term
r = Common ratio
n = number or position of the term
For this question, we need to compute the common ratio
Common Ratio = (Next term) ÷ (Current term)
= (Second term) ÷ (First term)
= (Third term) ÷ (Second term)
For this question,
Common Ratio = 0.04 ÷ 0.008 = 5
OR
0.2 ÷ 0.04 = 5
And we can see that the first term is 0.008
So, the 12th term will have the formula
aₙ = a (rⁿ⁻¹)
a = 0.008
n = 12
r = 5
a₁₂ = 0.008 (5¹²⁻¹)
= 0.008 (5¹¹)
= 0.008 (48,828,125)
= 390,625
Hope this Helps!!!